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Finding the Fourth Proportional to 138.98, 209.21 and 126.68

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Solution

The fourth proportional to 138.98, 209.21 and 126.68 is: 190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.98 : 209.21 = 126.68 : x
  2. Step 2: Convert to fraction form
    138.98/209.21 = 126.68/x
  3. Step 3: Cross multiply
    138.98x = 209.21 × 126.68
  4. Step 4: Simplify right side
    138.98x = 26,502.22
  5. Step 5: Solve for x
    x = 26,502.22/138.98
  6. Step 6: Final answer
    x = 190.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.